Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices
Abdon E. Choque‐Rivero, Luis Enrique Garza Gaona · Russian Mathematics · 2017
Let {c j } =0 be a sequence of matrix moments associated with a matrix of measures supported on the unit circle, and let {P j } =0 be its corresponding sequence of monic matrix orthogonal polynomials. In this contribution, we consider a perturbation on the moments and find an explicit relation for the perturbed orthogonal polynomials in terms of {P j } =0 . We also obtain an expression for the corresponding second kind polynomials.